2 papers
math.AP2021
Existence of traveling waves for a fourth order Schr\" odinger equation with mixed dispersion in the Helmholtz regime
Jean-Baptiste Casteras, Juraj Foldes
In this paper, we study the existence of traveling waves for a fourth order Schr\" odinger equations with mixed dispersion, that is, solutions to $$Δ^2 u +βΔu +i V \nabla u +αu =|u…
math.PR2020
Sensitivity of steady states in a degenerately-damped stochastic Lorenz system
Juraj Foldes, Nathan E. Glatt-Holtz, David P. Herzog
We study stability of solutions for a randomly driven and degenerately damped version of the Lorenz '63 model. Specifically, we prove that when damping is absent in one of the temp…